What is the Greatest Common Factor of 63945 and 63965?

Greatest common factor (GCF) of 63945 and 63965 is 5.

GCF(63945,63965) = 5

We will now calculate the prime factors of 63945 and 63965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63945 and 63965.

How to find the GCF of 63945 and 63965?

We will first find the prime factorization of 63945 and 63965. After we will calculate the factors of 63945 and 63965 and find the biggest common factor number .

Step-1: Prime Factorization of 63945

Prime factors of 63945 are 3, 5, 7, 29. Prime factorization of 63945 in exponential form is:

63945 = 3² × 5¹ × 7² × 29¹

Step-2: Prime Factorization of 63965

Prime factors of 63965 are 5, 11, 1163. Prime factorization of 63965 in exponential form is:

63965 = 5¹ × 11¹ × 1163¹

Step-3: Factors of 63945

List of positive integer factors of 63945 that divides 63945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 49, 63, 87, 105, 145, 147, 203, 245, 261, 315, 435, 441, 609, 735, 1015, 1305, 1421, 1827, 2205, 3045, 4263, 7105, 9135, 12789, 21315

Step-4: Factors of 63965

List of positive integer factors of 63965 that divides 63945 without a remainder.

1, 5, 11, 55, 1163, 5815, 12793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63945 and 63965. The biggest common factor number is the GCF number.
So the greatest common factor 63945 and 63965 is 5.

Also check out the Least Common Multiple of 63945 and 63965